30029

Properties

Appears in sequences

• Largest prime factor of product of first n primes - 1, or 1 if no such prime exists.at n=5A002584
• Largest prime <= Product prime(k).at n=5A007014
• Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=24A023277
• Primes that remain prime through 4 iterations of function f(x) = 3x + 2.at n=5A023307
• a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023531.at n=17A024313
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor(n/2), s = (natural numbers >= 3), t = (Fibonacci numbers).at n=16A024315
• Kummer numbers: -1 + product of first n consecutive primes.at n=5A057588
• Primorial primes: primes p such that p+1 is a primorial number (A002110).at n=3A057705
• Smallest prime divisor of Kummer numbers ( = primorials - 1), or 1 if no such prime exists.at n=5A057713
• Table read by rows where i-th row consists of primes P of the form P=j*P(i)# -1 or P=j*P(i)# +1 with 0 < j < P(i+1). Here P(r)# = A002110.at n=43A087715
• Singular primes mentioned in A096833 around the listed primorials.at n=1A096834
• Smallest prime p such that p+1 is the product of exactly n distinct prime numbers.at n=5A098026
• Primes of the form primorial P(k)*2^n-1 with minimal n, n>=0, k>=2.at n=4A103515
• Primes of the form primorial P(k)*n-1 with minimal n, n>0, k>=2.at n=4A103783
• Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=41A105440
• Largest number m such that sigma(m) = A002110(n) where A002110(n) is the product of the first n primes.at n=4A153077
• Primes of the form Sum_{k=1..m} (m^k mod (m+k)).at n=22A156557
• Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer.at n=27A168556
• Primes of the form p^2+100, where p is prime.at n=22A182476
• Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=49A221981